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20454384154302 = 23271791560758109
BaseRepresentation
bin1001010011010011010000…
…10011010011011010111110
32200102102100012102011100200
410221221220103103122332
510140111034320414202
6111300340411304330
74210531464426420
oct451515023233276
980372305364320
1020454384154302
1165767236794aa
122364243a4b0a6
13b54abca67527
14509dd7102810
152570eae7ce1c
hex129a684d36be

20454384154302 has 96 divisors (see below), whose sum is σ = 50936046220800. Its totient is φ = 5810988734784.

The previous prime is 20454384154231. The next prime is 20454384154313. The reversal of 20454384154302 is 20345148345402.

20454384154302 is a `hidden beast` number, since 20 + 4 + 5 + 4 + 3 + 84 + 1 + 543 + 0 + 2 = 666.

It is a super-2 number, since 2×204543841543022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351971224 + ... + 352029332.

It is an arithmetic number, because the mean of its divisors is an integer number (530583814800).

Almost surely, 220454384154302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20454384154302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25468023110400).

20454384154302 is an abundant number, since it is smaller than the sum of its proper divisors (30481662066498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20454384154302 is a wasteful number, since it uses less digits than its factorization.

20454384154302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73910 (or 73907 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 20454384154302 in words is "twenty trillion, four hundred fifty-four billion, three hundred eighty-four million, one hundred fifty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 537 1074 1253 1611 2506 3222 3759 7518 11277 15607 22554 31214 46821 58109 93642 109249 116218 140463 174327 218498 280926 327747 348654 406763 522981 655494 813526 983241 1045962 1220289 1966482 2440578 2793653 3660867 5587306 7321734 8380959 10401511 16761918 19555571 20803022 25142877 31204533 39111142 50285754 58666713 62409066 72810577 93613599 117333426 145621154 176000139 187227198 218431731 352000278 436863462 655295193 906907163 1310590386 1813814326 2720721489 5441442978 6348350141 8162164467 12696700282 16324328934 19045050423 38090100846 57135151269 114270302538 162336382177 324672764354 487009146531 974018293062 1136354675239 1461027439593 2272709350478 2922054879186 3409064025717 6818128051434 10227192077151 20454384154302